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APAL
2011
14 years 11 months ago
The provably total NP search problems of weak second order bounded arithmetic
We define a new NP search problem, the “local improvement” principle, about labellings of an acyclic, bounded-degree graph. We show that, provably in PV, it characterizes the...
Leszek Aleksander Kolodziejczyk, Phuong Nguyen, Ne...
COCO
1998
Springer
95views Algorithms» more  COCO 1998»
15 years 8 months ago
Resource-Bounded Measure
We present a notion of resource-bounded measure for P and other subexponential-time classes. This generalization is based on Lutz's notion of measure, but overcomes the limit...
Jack H. Lutz
STOC
2001
ACM
132views Algorithms» more  STOC 2001»
16 years 4 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son
DCC
2006
IEEE
16 years 3 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier
176
Voted
CORR
2008
Springer
109views Education» more  CORR 2008»
15 years 4 months ago
Dependence Balance Based Outer Bounds for Gaussian Networks with Cooperation and Feedback
We obtain new outer bounds on the capacity regions of the two-user multiple access channel with generalized feedback (MAC-GF) and the two-user interference channel with generalize...
Ravi Tandon, Sennur Ulukus